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680153826 = 231123147643
BaseRepresentation
bin101000100010100…
…101001011100010
31202101211101122110
4220202211023202
52343104410301
6151254020150
722566132522
oct5042451342
91671741573
10680153826
11319a24700
1216b947656
13aabb0cb1
146648d682
153eaa20d6
hex288a52e2

680153826 has 96 divisors (see below), whose sum is σ = 1578737664. Its totient is φ = 194911200.

The previous prime is 680153813. The next prime is 680153863. The reversal of 680153826 is 628351086.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057461 + ... + 1058103.

It is an arithmetic number, because the mean of its divisors is an integer number (16445184).

Almost surely, 2680153826 is an apocalyptic number.

680153826 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 680153826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789368832).

680153826 is an abundant number, since it is smaller than the sum of its proper divisors (898583838).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

680153826 is a wasteful number, since it uses less digits than its factorization.

680153826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 680153826 is about 26079.7589329349. The cubic root of 680153826 is about 879.4322379344.

The spelling of 680153826 in words is "six hundred eighty million, one hundred fifty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 11 22 31 33 47 62 66 93 94 121 141 186 242 282 341 363 517 643 682 726 1023 1034 1286 1457 1551 1929 2046 2914 3102 3751 3858 4371 5687 7073 7502 8742 11253 11374 14146 16027 17061 19933 21219 22506 30221 32054 34122 39866 42438 48081 59799 60442 77803 90663 96162 119598 155606 176297 181326 219263 233409 332431 352594 438526 466818 528891 657789 664862 936851 997293 1057782 1315578 1873702 1994586 2411893 2810553 3656741 4823786 5621106 7235679 7313482 10305361 10970223 14471358 20610722 21940446 30916083 61832166 113358971 226717942 340076913 680153826